Multiple choice

A shopkeeper sells sugar in such a way that the selling price of $950$ gm is the same as the cost price of one kg. Find his gain $\%$.

  1. $5.26 \%$
  2. $7.8 \%$
  3. $6.26 \%$

  4. none of these
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A Correct answer
Explanation

Selling price of 950g = Cost price of 1000g. Let CP of 1g = 1. Then CP of 950g = 950. SP of 950g = 1000. Profit = 50. Profit % = (50/950) * 100 = 5.26 percent.

AI explanation

Assume the cost price of 1 gram is Rs. 1, making the cost price of 1000 grams (1 kg) equal to Rs. 1000. The shopkeeper sells 950 grams for Rs. 1000, making the cost price of those 950 grams only Rs. 950. Using the gain percentage formula, the gain of Rs. 50 on the cost of Rs. 950 results in a 5.26% gain.

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